Peter Nero

Projection-Limited Coherence: Exact Criteria for Effective Dynamics and a Cross-Domain Research Program

Many sciences replace a detailed state by a smaller set of effective variables. This paper develops a substrate-neutral framework for asking what such a projection does and does not imply. For a measurable source space, dynamics, observation map, admissible domain, and declared m...

Universal Perturbative Graph Structure: A Typed Modal Diagrammatics and Its Quantum Boundary

Feynman graphs are used in quantum field theory, classical statistical field theory, stochastic dynamics, and effective descriptions of gravity. Their recurrence has a precise but limited explanation. Once one specifies a nondegenerate quadratic kernel, interaction tensors, a gra...

The Modal Triplet Theory Program B4: Typed Encoding Intersections, Conditional Rigidity, and Standard Model Compatibility

We give a typed formulation of encoding intersections and determine when such an intersection is actually rigid. Compatibility means that a declared set of geometric, redundancy, quantum, anomaly, and overlap constraints has at least one common realization. Local rigidity means t...

Photons, Entanglement, and Null Updating in Modal Triplet Theory: A Conditional Maxwell-to-Encoding Analysis

This paper gives a typed account of photons in Modal Triplet Theory (MTT). The effective spacetime is a four-dimensional Lorentzian manifold Y4, while the candidate upper carrier is written Y4 x X6. The internal factor does not by itself select electromagnetism. A photon analysis...

Electromagnetic Helicity from an Induced Line Connection Exact Chern–Simons Identities and a Conditional MTT Encoding

A smooth rank-one orthogonal projector on a Hermitian bundle defines a line subbundle and an induced unitary connection. This elementary construction provides a precise setting in which Berry curvature, Abelian Chern–Simons functionals, magnetic helicity, and Hopf invariants can...

Measurement-Induced Entanglement Transitions and Basin Diagnostics Instruments, First Passage, and Protocol Limits

This paper replaces a universal identification of measurement-induced phase transitions, collapse thresholds, basin loss, and Zeno or anti-Zeno behavior by a typed, model-dependent framework. A hybrid monitored circuit is specified by its Hilbert space, unitary layers, measuremen...

Horizons, Capacity Bounds, and Entropy in Modal Triplet Theory: A Conditional Interface with Black-Hole Thermodynamics

This paper determines exactly what coherence-capacity data can and cannot establish about horizons and entropy in Modal Triplet Theory (MTT). A zero of a declared capacity certificate is a failure boundary for that certificate. It is not, by itself, an event horizon, a trapped su...

Bundle Selection Rules, Anomaly Lines, and Charge Lattices A Conditional Topological Layer for Modal Triplet Theory

Topology can constrain a four-dimensional effective theory, but only after the global gauge group, field representations, internal bundles, zero-mode spaces, coefficient bundles, and contraction maps have been specified. This paper replaces an earlier topology-only argument by th...

ETH and Many-Body Localization Through an Operational Basin Diagnostic A Model-Dependent Bridge with Exact Coarse-Dynamics Identities

This paper replaces a proposed universal equivalence among eigenstate thermalization, many-body localization, and projection-induced basins by a model-dependent operational bridge. We fix a finite random-field XXZ chain, an energy window, an initial-state class, and a family of l...

Twistor Encodings as a Conditional High-Coherence Corner of MTT: Conformal-spin geometry, controlled reduction, and the limits of the bridge

Twistor methods encode important four-dimensional massless, conformal, and self-dual field sectors in holomorphic geometry. This paper asks a narrower MTT question: when may an already selected coherent sector be represented by such twistor data? The answer requires two logically...

Worldsheet and Spacetime Consistency as a Conditional Diagnostic Square: Sigma-model beta functions, target-space equations, and the MTT source contract

Perturbative string theory supplies a precise relation between two-dimensional Weyl consistency and target-space field equations. At leading order the metric beta function contains the Ricci tensor, but the complete statement also involves the antisymmetric tensor, dilaton, renor...

Why General Relativity Appears in Perturbative String Theory: A careful MTT interpretation of worldsheet consistency and target-space dynamics

The statement that General Relativity falls out of string theory is memorable but easy to misunderstand. A perturbative string background is described by a two-dimensional quantum field theory. Its couplings include the target-space metric, antisymmetric tensor, dilaton, and, in...

Parameters, Source Provenance, and Structural Falsifiability in Modal Triplet Theory An Auditable Identifiability Ledger

A parameter count is meaningful only relative to a model, a physical tier, a choice of observables, a quotient by redundancies, and a rule separating construction data from held-out tests. This paper rebuilds the parameter and falsifiability account of Modal Triplet Theory (MTT)...

Particles and Forces as Conditional Coherence-Basin Encodings: Effective actions, centroid laws, and the limits of capacity gradients

This paper examines a concrete MTT proposal: localized persistent structures may be represented as coherence basins, while their effective motion may be described by capacity-dependent forces. The basin part is viable only after a map from effective state space to spatial observa...

A Covariant Effective Model for Coherence-Capacity Cosmology: Equations, Degeneracies, and Observational Tests

This paper replaces an earlier heuristic cosmology with a covariant effective-model interface. Coherence capacity in Modal Triplet Theory is an admissibility margin; by itself it does not determine a spacetime metric, expansion, acceleration, a causal horizon, a cosmological sing...

The Modal Triplet Theory Program C: A Typed Dictionary for Geometric, Bundle, and Operator Realizations

This paper gives a typed realization dictionary for the Modal Triplet Theory (MTT) program. In the canonical physical specialization, the ten-dimensional space is a four-dimensional Lorentzian spacetime times a compact six-dimensional Riemannian internal space. Coordinate factors...

From Coherence-Basin Statistics to a Local Quantum-Field Interface: Commutative Measures, the Selected Free CAR Net, and the Interacting Boundary

This paper asks a narrower and more useful question than whether quantum field theory can be reconstructed from classical ensemble statistics. Let an admissible coherence-basin space carry a probability measure and bounded basin observables. We prove that these data have a canoni...

Admissible Image Geometry for Network Motifs in Modal Triplet Theory Conditional Correlations, Sprout Bounds, and What Projection Alone Does Not Imply

Projection can discard information without selecting a network geometry. This paper develops a rigorous Modal Triplet Theory (MTT) framework in which observable motif constraints are determined from the actual image R = F(A), where A is a declared admissible source domain and F i...

The Modal Triplet Theory Program B5: Relative Saturation, Conditional Extended Carriers, and String-Like Realizations

We replace an absolute notion of encoding saturation by a typed and testable relative notion. A saturation contract specifies a category of candidate realizations, its equivalences, a complete list of constraints and boundary data, and a class of allowed factorizations. A realiza...

Measurement-Induced Entanglement Transitions and Basin Diagnostics Instruments, First Passage, and Protocol Limits

This paper replaces a universal identification of measurement-induced phase transitions, collapse thresholds, basin loss, and Zeno or anti-Zeno behavior by a typed, model-dependent framework. A hybrid monitored circuit is specified by its Hilbert space, unitary layers, measuremen...